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Finding the Third Proportional to 7,716,960 and 11,352,384

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Solution

The third proportional to 7,716,960 and 11,352,384 is: 16,700,439.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,716,960 : 11,352,384 = 11,352,384 : x
  2. Step 2: Convert to fraction form
    7,716,960/11,352,384 = 11,352,384/x
  3. Step 3: Cross multiply
    7,716,960x = 11,352,384 × 11,352,384
  4. Step 4: Simplify right side
    7,716,960x = 128,876,622,483,456
  5. Step 5: Solve for x
    x = 128,876,622,483,456/7,716,960
  6. Step 6: Final answer
    x = 16,700,439.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.